Learn about the relationship between velocity and position for a swimmer. Adjust the velocity of the legs, streamline, and arms to experiment with the slope of velocity in the simulation swimmer. Dig a bit deeper into the physics of swimming with additional examples.

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Learn about the relationship between position and velocity for a model rocket during launch and in free-fall. Experiment with rocket mass, rocket thrust, and rocket burn time to understand the connection of velocity and position. Uncover more about this physics concept with four more examples.

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Students explore the physics utilized by engineers in designing today's roller coasters, including potential and kinetic energy, friction, and gravity. First, students learn that all true roller coasters are completely driven by the force of gravity and that the conversion between potential and kinetic energy is essential to all roller coasters. Second, they also consider the role of friction in slowing down cars in roller coasters. Finally, they examine the acceleration of roller coaster cars as they travel around the track. During the associated activity, the students design, build, and analyze a roller coaster for marbles out of foam tubing.

In this animated video, students learn about mass: the measure of an object's ability to resist being accelerated by a force. [1:46]

This video teaches the viewer how to read a position vs. time graph. It explains how to use the graph to determine the following quantities: displacement, distance, average velocity, average speed, instantaneous velocity, and instantaneous speed. [15:19]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

A narrated presentation illustrates some problems calculating the acceleration of an object when time is unknown, but position and velocity are. [6:45]

In this video from Cyberchase, the CyberSquad figures out how fast their broom must go so they can reach Motherboard before Wicked.

A video exploring how angular velocity relates to speed. [9:24]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Students conduct an experiment to determine the relationship between the speed of a wooden toy car at the bottom of an incline and the height at which it is released. They observe how the photogate-based speedometer instrument "clocks" the average speed of an object (the train). They gather data and create graphs plotting the measured speed against start height. After the experiment, as an optional extension activity, students design brakes to moderate the speed of the cart at the bottom of the hill to within a specified speed range.

Students use their understanding of projectile physics and fluid dynamics to find the water pressure in water guns. By measuring the range of the water jets, they are able to calculate the theoretical pressure. Students create graphs to analyze how the predicted pressure relates to the number of times they pump the water gun before shooting.

A slide show with three accompanying video lesson segments illustrating the difference between speed and velocity, and demonstrating how to calculate average speed and velocity. [6:31]

This video segment adapted from Shedding Light on Science uses historical illustrations and everyday examples to show that light has a speed and does not travel instantaneously. [3:36]

As if they are engineers, students are tasked to design solar-powered model vehicles that are speedy and compact in order to make recommendations to a local car sales company. Teams familiarize themselves with the materials by building solar-panel model car prototypes, following kit instructions, which they test for speed. After making design improvements, they test again. Then they take measurements and calculate the volume of each team’s vehicle. They rank all teams’ vehicles by speed and by size. After data analyses, reflection and team discussion, students write recommendations to the car company about the vehicle they think is best for consumers. Youngsters experience key portions of the engineering design process and learn the importance of testing and collaborating in order to make better products. Pre/post-quizzes and numerous worksheets and handouts are provided.

Students act as engineers to solve a hypothetical problem that has occurred in the Swiss Alps due to a seismic event. In research groups, students follow the steps of the engineering design process as teams compete to design and create small-size model sleds that can transport materials to people in distress who are living in the affected town. The sleds need to be able to carry various resources that the citizens need for survival as well as meet other design requirements. Students test their designs and make redesigns to improve their prototypes in order to achieve final working designs. Once the designs and final testing are complete, students create final technical reports.

This interactive exercise uses distance and speed of travel to solve a real-life problem focusing on the Pythagorean theorem and rate of change.

Explore the effects of air drag on a tennis ball launched up at an angle in this interactive simulation.

Students see how different levels of surface tension affect water's ability to move. Teams "race" water droplets down tracks made of different materials, making measurements, collecting data, making calculations, graphing results and comparing to their predictions and the properties of each surface, determining which surface exhibits the highest (or lowest) level of surface tension with water. They apply their results to make engineering recommendations for real-world applications.

Students learn about wind as a source of renewable energy and explore the advantages and disadvantages wind turbines and wind farms. They also learn about the effectiveness of wind turbines in varying weather conditions and how engineers work to create wind power that is cheaper, more reliable and safer for wildlife.

Students strengthen their communicate skills about measurements by learning the meaning of base units and derived units, including speed one of the most common derived units (distance/time). Working in groups, students measure the time for LEGO MINDSTORMS(TM) NXT robots to move a certain distance. The robots are started and stopped via touch sensors and programmed to display the distance traveled. Using their collected data, students complete a worksheet to calculate the robots' (mean/average) speeds at given motor powers.

Students are introduced to the concepts of torque, power, friction and gear ratios. Teams modify two robotic LEGO® MINDSTORMS® vehicles by changing their gear ratios, wheel sizes, weight and engine power, while staying within a limit of points to spend on modifications. The robots face each other on a track with a string attaching one to the other. The winning robot, the one with the best adjustments, pulls the other across the line.